Simplify (7x-1)(2x+5)

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the numerical equation:

(7x - 1) (2x + 5)

Simplify.

Solution:

In order to simplify the given numerical equation, we will use the FOIL Method. Multiply the first term of the first equation, to the first and last term of the second equation. Then, multiply the last term of the first equation, to the first and last term of the second equation.

To clearly see how it works, here's a step by step solution.

= (7x)(2x)
=14x^2
First term of the first equation multiplied to the first term of the second equation.

=(7x)(5)
= 35x
First term of the first equation multiplied to the last term of the second equation.

=(-1)(2x)
=-2x
Last term of the first equation multiplied to the first term of the second equation.

=(-1)(5)
= -5
Last term of the first equation multiplied to the fast term of the second equation.

= 14x^2 + 35x - 2x - 5

= 14x^2 + 33x - 5

Final answer:
= 14x^2 + 33x - 5